Given an orthogonal matrix

$A=

begin{pmatrix}

1 & 1 & 1 &1 \

1 & 1 & -1 &-1\

1 & -1 & 0 &0\

0 &0&1&-1

end{pmatrix}

$

then values of $[AA^{T}]^{-1}$ is ?

My question is how come it is an orthogonal matrix $1^2+1^2+1^2+1^2ne1$

Sum of squares of rows should be one isnt it?